Jawaban:

First, we need to convert the mixed numbers into improper fractions:

2⅝ = 21/8

2⅕ = 12/5

4½ = 9/2

3 7/6 = 25/6

Next, we can simplify the multiplication and division first, and then perform the subtraction:

2⅝ x 2⅕ ÷ 4½ - 3 7/6

= (21/8) x (12/5) ÷ (9/2) - (25/6)

= 63/40 ÷ 9/2 - 25/6

= 63/40 x 2/9 - 25/6 (dividing by a fraction is the same as multiplying by its reciprocal)

= 14/40 - 25/6

= 7/20 - 25/6

To subtract these two fractions, we need to find a common denominator:

7/20 = 21/60

25/6 = 250/60

Now we can subtract:

21/60 - 250/60 = -229/60

Therefore, the final answer is -229/60 or approximately -3.8167.